Calculate the absolute value of numbers or equations with the absolute value calculator, ignoring whether it’s a positive or negative number sign. It also provides you with step-by-step calculations of absolute values along with a graphical representation and number lines.
What are Absolute Values?
The absolute value of a number is the distance from that number to zero, Ignoring its sign. This distance represents the size or magnitude of the number.
For Example:
Positive Numbers: The absolute value of 5 is 5, because the distance from 5 to zero is 5, regardless of its positive sign.
Negative Numbers: The absolute value of -3 is also 3, because the distance from -3 to zero is 3, even though it's in the negative direction.
How do I Solve for Absolute Value?
Let’s say, you have the equation: |-8| + |-15|.
Here is how you can solve it step by step:
The absolute value of -8 is 8, as it ignores the negative sign and gives the distance from zero.
Similarly, the absolute value of -15 is 15.
Now, add these values together: 8 + 15 = 23.
How To Use Absolute Value Calculator?
- Select what you want to calculate the absolute value for (Either Number or Equation)
- Enter the value in the designated field
- Click the Calculate button
Results:
- You can have your absolute value answer directly and also the step-by-step procedure to calculate the given answer
- Moreover, if you need to represent your absolute value on a number line or a graphical plot, the absolute value equations calculator also presents the solution in both manners
Comparison of Positive vs. Negative Absolute Numbers:
| Absolute Value Examples | ||
|---|---|---|
| Number (x) | Absolute Value (|x|) | Example Scenario |
| Positive Numbers | ||
| 5 | 5 | Distance traveled 5 steps forward from zero. |
| 12.8 | 12.8 | Height of a building 12.8 meters above ground. |
| 1/3 | 1/3 | Time remaining on a timer, 1/3 of the way to completion. |
| Negative Numbers | ||
| -3 | 3 | Temperature 3 degrees below zero. |
| -7.5 | 7.5 | When zero represents no debt, you're currently 7.5 units away from having a zero balance. |
| -1/4 | 1/4 | Distance traveled 1/4 of a circle counter-clockwise from zero. |
| Zero | ||
| 0 | 0 | Starting point on a number line, no distance from zero. |
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